Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 7 (2012), 31 -- 38

ASYMPTOTIC REGULARITY AND FIXED POINT THEOREMS ON A 2-BANACH SPACE

Mantu Saha, Debashis Dey, Anamika Ganguly and Lokenath Debnath

Abstract. The present paper deals with some fixed point theorems for a class of mixed type of contraction maps possessing the asymptotically regular property in a 2-Banach space.

2010 Mathematics Subject Classification: 47H10; 54H25.
Keywords: Asymptotically regular; 2-normed space 2-Banach space; fixed points and fixed point theorems.

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Mantu Saha Debashis Dey
Department of Mathematics, Koshigram Union Institution,
The University of Burdwan, Koshigram - 713150, Burdwan,
Burdwan 713104, West Bengal, India. West Bengal, India.
e-mail: mantusaha@yahoo.com e-mail: debashisdey@yahoo.com
Anamika Ganguly Lokenath Debnath
Balgona Saradamoni Balika Vidyalaya, Department of Mathematics,
Balgona Station and Chati, Bhatar, University of Texas - Pan American,
Burdwan, West Bengal, India. Edinburg, Texas 78539, U.S.A.
e-mail: anamika.simi@gmail.com e-mail: debnathl@utpa.edu




http://www.utgjiu.ro/math/sma